Properties

Genus \(15\)
Small Group \(C_{31}\)
Signature \([ 0; 31, 31, 31 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Group name: $C_{31}$
Group identifier: [31,1]
Signature: $[ 0; 31, 31, 31 ]$
Conjugacy classes for this refined passport: 3, 12, 19

Jacobian variety group algebra decomposition:$A_{15}$
Corresponding character(s): 2

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.25.1

  (1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30)
  (1,12,23,3,14,25,5,16,27,7,18,29,9,20,31,11,22,2,13,24,4,15,26,6,17,28,8,19,30,10,21)
  (1,19,6,24,11,29,16,3,21,8,26,13,31,18,5,23,10,28,15,2,20,7,25,12,30,17,4,22,9,27,14)